Neira, a talented engineer, has constructed a machine whose operation relies on 1 mole of a monatomic gas repeatedly undergoing the cycle represented on the p-V diagram below. 1: Cd\") Iss'zvtL) 1. Calculate the temperature of the gas at each of the points 1, 2, and 3. 2. Calculate the thermal energy of the gas at each of the points 1, 2, and 3. 3. The First Law of Thermodynamics states that AE = Q + W for any system undergoing some process. Consider a process in which a gas in a cylinder expands against a piston, as in the diagrams below. Is W, the work, positive or negative in such a process? Try to explain using physical arguments, and avoid using math. 4. Calculate the work W along each of the line segments 1 > 2, 2 ) 3, and 3 > 1. 5. Calculate the heat ow Q along each of the line segments 1 ) 2, 2 > 3, and 3 ) 1. 6. Suppose that the gas in Neira's device is trapped in a cylinder with a movable piston. The following incomplete diagram contains a sequence of four cylinders drawn in cross-section representing states 1,2, 3, and again state 1 of the gas in the device, with arrows between them representing the processes between the states. The piston and gas are drawn for only the rst diagram for state 1. Draw the position of the piston and sketch the gas for the other three cylinders, and below each arrow between them, describe whether the temperature of the gas is increasing or decreasing, whether heat is owing to or from the gas, and whether the work involves a transfer from the gas to its environment, or vice versa